We're dividing 42174614 by 643 
We want to divide 42174614 by 643.

Going ahead to step 1:
4 divided by 643 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 643

Moving on to step 2:
The number 643 fits into 42 0 times, leaving a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Fetch the next digit (1) from the dividend, attach it to 42 and continue: 421 / 643

Moving on to step 3:
If we divide 421 by 643, we get 0 and a remainder of 421.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 421 leaves us with 421.
Include the next digit (7) from the dividend after 421, then repeat: 4217 / 643

Advancing to step 4:
643 goes into 4217 6 times with a remainder of 359.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 3858 from 4217 to get 359.
Bring next digit (4) of the dividend behind the 359 and repeat the process: 3594 / 643

Advancing to step 5:
If we divide 3594 by 643, we get 5 and a remainder of 379.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
Deduct 3215 from 3594 and we're left with 379.
Grab the next digit (6) from the dividend, add it to 379, then carry on: 3796 / 643

Advancing to step 6:
The number 643 fits into 3796 5 times, leaving a remainder of 581.
Write down 5 as next digit of the result. 
Result so far: 655.0
Subtracting 3215 from 3796 leaves us with 581.
Take the next digit (1) from the dividend and append it to 581, then repeat: 5811 / 643

Going ahead to step 7:
643 goes into 5811 9 times with a remainder of 24.
Record the quotient 9 as the next digit in the result. 
Result so far: 6559.0
If we subtract 5787 from 5811, we get 24.
Append the next digit (4) from the dividend to 24 and continue with: 244 / 643

On to step 8:
643 can be fit into 244 0 times, resulting in a remainder of 244.
Write down 0 as next digit of the result. 
Result so far: 65590.0
If we take 0 away from 244, we end up with 244.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

On to step 9:
If we divide 2440 by 643, we get 3 and a remainder of 511.
Write down 3 as next digit of the result. 
Result so far: 65590.3
If we take 1929 away from 2440, we end up with 511.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5110, and continue the process.

Moving on to step 10:
643 can be fit into 5110 7 times, resulting in a remainder of 609.
The number 7 becomes the next digit in our result. 
Result so far: 65590.37
If we take 4501 away from 5110, we end up with 609.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6090, and continue the process.

Let's proceed to step 11:
When dividing 6090 by 643, we get 9 with a remainder of 303.
Record the quotient 9 as the next digit in the result. 
Result so far: 65590.379
Subtract 5787 from 6090 to get 303.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3030, and continue the process.

On to step 12:
When dividing 3030 by 643, we get 4 with a remainder of 458.
Record the quotient 4 as the next digit in the result. 
Result so far: 65590.3794
If we subtract 2572 from 3030, we get 458.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

On to step 13:
4580 divided by 643 is 7 with a remainder of 79.
Write down 7 as next digit of the result. 
Result so far: 65590.37947
If we subtract 4501 from 4580, we get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

On to step 14:
643 goes into 790 1 times with a remainder of 147.
Put 1 as the next digit of the answer. 
Result so far: 65590.379471
The remainder is 147 after subtracting 643 from 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1470, and continue the process.

On to step 15:
643 goes into 1470 2 times with a remainder of 184.
The number 2 becomes the next digit in our result. 
Result so far: 65590.3794712
Subtract 1286 from 1470 to get 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

Let's proceed to step 16:
If we divide 1840 by 643, we get 2 and a remainder of 554.
Put 2 as the next digit of the answer. 
Result so far: 65590.37947122
Deduct 1286 from 1840 and we're left with 554.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5540, and continue the process.

After the division, we end up with 65590.37947122 and a remainder of 5.54e-07.